Answer:
Step-by-step explanation:
A boat leaves the harbor entrance and travels 28 miles in the direction N 43° E.
Displacement in vector form
= 28 cos43 i + 28sin43j
= 20.47 i + 19.1 j
The captain then turns the boat 90° and travels another 15 miles in the direction S 47° E
Displacement
= 15 cos47 i - 15 sin47 j
= 10.22 i - 10.97 j
Total displacement
= 20.47 i + 19.1 j + 10.22 i - 10.97 j
= 30.69 i - 8.13 j
Magnitude of displacement
= 31.75 miles
Angle with east direction
TanФ = - 8.13 / 30.69
Ф = 15 degree south of east.
Answer:
The amount $15000 is divided as
in 2% = $7000
in 5% = $8000
Step-by-step explanation:
It is given that the total amount is $15000 and rates of interests are 2% and 5%.
<em>Let the amount invested in 2% be "x", so the amount invested in 5% is (15000 - x).</em>
The annual interest on x part is given as,
= 
Similarly, The annual interest on (15000 - x) part is given as,
= 
the total annual interest is given as $540
Thus, <em>540 =
</em>
<em>54000 =
</em>
<em>21000 = 3(x)</em>
x =
= 7000
Thus the shares are $7000 and (15000 - 7000) $8000 .
Answer:
0+(-10+-10) i don't know if this is what you need..sry if it's not
Step-by-step explanation:
Answer:
452.16cm squared
Step-by-step explanation:
Area for a circle formula is A = pi * r^2
Area = 3.14 * 12^2
Area = 452.16
Here you go. Just remember PEMDAS.
P-parentheses
E- exponents
M-multiplication
D-division
A-addition
S-subtraction
That is the order you will do it in.